The geometry on Hyper-Kähler manifolds of type A∞

Kota Hattori

doi:10.1007/978-4-431-55215-4_27

The geometry on Hyper-Kähler manifolds of type A_∞

Kota Hattori

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Hyper-Kähler manifolds of type A_∞ are noncompact complete Ricci-flat Kähler manifolds of complex dimension 2, constructed by Anderson, Kronheimer, LeBrun (Commun. Math. Phys., 125, 637–642, 1989) and Goto (Geom. Funct. Anal., 4(4), 424–454, 1994). We review the asymptotic behavior, the holomorphic symplectic structures and period maps on these manifolds.

Original language	English
Title of host publication	Real and Complex Submanifolds
Editors	Young Jin Suh, Yoshihiro Ohnita, Hyunjin Lee, Jürgen Berndt, Byung Hak Kim
Publisher	Springer New York LLC
Pages	309-317
Number of pages	9
ISBN (Electronic)	9784431552147
DOIs	https://doi.org/10.1007/978-4-431-55215-4_27
Publication status	Published - 2014 Jan 1
Event	Satellite Conference on Real and Complex Submanifolds ICM 2014 with 18th International Workshop on Differential Geometry - Daejeon, Korea, Republic of Duration: 2014 Aug 10 → 2014 Aug 12

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	106
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Other

Other	Satellite Conference on Real and Complex Submanifolds ICM 2014 with 18th International Workshop on Differential Geometry
Country/Territory	Korea, Republic of
City	Daejeon
Period	14/8/10 → 14/8/12

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1007/978-4-431-55215-4_27

Cite this

The geometry on Hyper-Kähler manifolds of type A_∞ . / Hattori, Kota.
Real and Complex Submanifolds. ed. / Young Jin Suh; Yoshihiro Ohnita; Hyunjin Lee; Jürgen Berndt; Byung Hak Kim. Springer New York LLC, 2014. p. 309-317 (Springer Proceedings in Mathematics and Statistics; Vol. 106).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Hattori, K 2014, The geometry on Hyper-Kähler manifolds of type A_∞ in YJ Suh, Y Ohnita, H Lee, J Berndt & BH Kim (eds), Real and Complex Submanifolds. Springer Proceedings in Mathematics and Statistics, vol. 106, Springer New York LLC, pp. 309-317, Satellite Conference on Real and Complex Submanifolds ICM 2014 with 18th International Workshop on Differential Geometry, Daejeon, Korea, Republic of, 14/8/10. https://doi.org/10.1007/978-4-431-55215-4_27

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